Analysis of car-following model with cascade compensation strategy

被引:97
作者
Zhu, Wen-Xing [1 ]
Zhang, Li-Dong [1 ,2 ]
机构
[1] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China
[2] Shandong Jiaotong Univ, Sch Rail Transit, Jinan 250023, Peoples R China
基金
中国国家自然科学基金;
关键词
Car-following model; Cascade compensation; Frequency domain method; NEAREST-NEIGHBOR INTERACTION; DELAYED-FEEDBACK CONTROL; TRAFFIC FLOW; OPTIMAL VELOCITY; NONLINEAR-ANALYSIS; DENSITY WAVES; FULL VELOCITY; DIFFERENCE; STABILITY; ROAD;
D O I
10.1016/j.physa.2015.12.114
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Cascade compensation mechanism was designed to improve the dynamical performance of traffic flow system. Two compensation methods were used to study unit step response in time domain and frequency characteristics with different parameters. The overshoot and phase margins are proportional to the compensation parameter in an underdamped condition. Through the comparison we choose the phase-lead compensation method as the main strategy in suppressing the traffic jam. The simulations were conducted under two boundary conditions to verify the validity of the compensator. The conclusion can be drawn that the stability of the system is strengthened with increased phase-lead compensation parameter. Moreover, the numerical simulation results are in good agreement with analytical results. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码:265 / 274
页数:10
相关论文
共 36 条
[1]   DYNAMICAL MODEL OF TRAFFIC CONGESTION AND NUMERICAL-SIMULATION [J].
BANDO, M ;
HASEBE, K ;
NAKAYAMA, A ;
SHIBATA, A ;
SUGIYAMA, Y .
PHYSICAL REVIEW E, 1995, 51 (02) :1035-1042
[2]  
Ge HX, 2004, PHYS REV E, V70, DOI 10.1103/PhysRevE.70.066134
[3]   Equivalence of linear response among extended optimal velocity models [J].
Hasebe, K ;
Nakayama, A ;
Sugiyama, Y .
PHYSICAL REVIEW E, 2004, 69 (01) :3
[4]   Dynamical model of a cooperative driving system for freeway traffic [J].
Hasebe, K ;
Nakayama, A ;
Sugiyama, Y .
PHYSICAL REVIEW E, 2003, 68 (02) :6
[5]   Full velocity difference model for a car-following theory [J].
Jiang, R ;
Wu, QS ;
Zhu, ZJ .
PHYSICAL REVIEW E, 2001, 64 (01) :4-017101
[6]   Coupled map car-following model and its delayed-feedback control [J].
Konishi, K ;
Kokame, H ;
Hirata, K .
PHYSICAL REVIEW E, 1999, 60 (04) :4000-4007
[7]   Decentralized delayed-feedback control of an optimal velocity traffic model [J].
Konishi, K ;
Kokame, H ;
Hirata, K .
EUROPEAN PHYSICAL JOURNAL B, 2000, 15 (04) :715-722
[8]   Multi-anticipative car-following model [J].
Lenz, H ;
Wagner, CK ;
Sollacher, R .
EUROPEAN PHYSICAL JOURNAL B, 1999, 7 (02) :331-335
[9]   Analysis of stability and density waves of traffic flow model in an ITS environment [J].
Li, Z. -P. ;
Liu, Y. -C. .
EUROPEAN PHYSICAL JOURNAL B, 2006, 53 (03) :367-374
[10]   Stabilization and enhancement of traffic flow by the next-nearest-neighbor interaction [J].
Nagatani, T .
PHYSICAL REVIEW E, 1999, 60 (06) :6395-6401